An Introduction to Copulas (Springer Series in Statistics)
An Introduction to Copulas (Springer Series in Statistics)
Traffic analysis of peer-to-peer IPTV communities
Computer Networks: The International Journal of Computer and Telecommunications Networking
Classification of slice-based VBR video traffic and estimation of link loss by exceedance
Computer Networks: The International Journal of Computer and Telecommunications Networking
Analyzing measurements from data with underlying dependences and heavy-tailed distributions
Proceedings of the 2nd ACM/SPEC International Conference on Performance engineering
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We consider the underlying network characteristics of an IPTV trace. The pairwise dependence in a triple (X, Y, R) denoting the inter-arrival time between packets, the packet length and the rate of transmission in a peer-to-peer IPTV session is detected and modeled. The three quantities are related by R = Y/X. We argue that the inter-arrival time and the packet length as well as the rate and the packet length are dependent, and the rate and the inter-arrival time are almost independent random variables. The Pickand's function and an empirical copula are used as measures of dependence. A Clayton copula provides an appropriate model of all underlying pair-wise dependencies.